cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A226892 Number of squares of size n^2 in all tilings of an (n+2) X (n+2) square using integer-sided square tiles.

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%I A226892 #12 Sep 05 2021 22:03:08
%S A226892 0,29,69,153,373,917,2321,5933,15317,39737,103461,269925,705169,
%T A226892 1843709,4822949,12620249,33029909,86456693,226319505,592468365,
%U A226892 1551031477,4060538489,10630442309,27830559173,72860864273,190751433437,499392464901,1307424389913
%N A226892 Number of squares of size n^2 in all tilings of an (n+2) X (n+2) square using integer-sided square tiles.
%H A226892 Alois P. Heinz, <a href="/A226892/b226892.txt">Table of n, a(n) for n = 0..1000</a>
%F A226892 G.f.: (17*x^5 - 29*x^4 - 73*x^3 + 65*x^2 + 47*x - 29)*x / (-x^6 + 2*x^5 + 4*x^4 - 6*x^3 - 2*x^2 + 4*x - 1).
%e A226892 a(1) = 29:
%e A226892 ._._._.  ._._._.  ._._._.  ._._._.  ._._._.  ._._._.
%e A226892 |     |  |   |_|  |_|_|_|  |_|   |  |_|_|_|  |_|_|_|
%e A226892 |     |  |___|_|  |   |_|  |_|___|  |_|   |  |_|_|_|
%e A226892 |_____|  |_|_|_|  |___|_|  |_|_|_|  |_|___|  |_|_|_|.
%Y A226892 A diagonal of A226936.
%K A226892 nonn
%O A226892 0,2
%A A226892 _Alois P. Heinz_, Jun 22 2013